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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (8): 745-755.

• 论文 • 上一篇    下一篇

APPLICATIONS OF WAVELET GALERKIN FEM TO BENDING OF BEAM AND PLATE STRUCTURES

周又和, 王记增, 郑晓静   

  1. Department of Mechanics. Lanzhou University. Lanzhou 730000, P. R. China
  • 收稿日期:1997-06-03 修回日期:1998-03-01 出版日期:1998-08-18 发布日期:1998-08-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and Science Foundation of the National Education Committee of China for the Scholars Returned from Abroad and for the Excllcnt Younfi Teachers in Universities

APPLICATIONS OF WAVELET GALERKIN FEM TO BENDING OF BEAM AND PLATE STRUCTURES

Zhou Youhe, Wang Jizeng, Zheng Xiaojing   

  1. Department of Mechanics. Lanzhou University. Lanzhou 730000, P. R. China
  • Received:1997-06-03 Revised:1998-03-01 Online:1998-08-18 Published:1998-08-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China and Science Foundation of the National Education Committee of China for the Scholars Returned from Abroad and for the Excllcnt Younfi Teachers in Universities

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摘要： In this paper, an approach is proposed for taking calculations of high order differentials of scaling functions in wavelet theory in order to apply the wavelet Galerkin FEM to numerical analysis of those boundary-value problems with order higher than 2. After that. it is realized that the wavelet Galerkin FEM is used to solve mechanical problems such as bending of beams and plates. The numerical results show that this method has good precision.

Abstract: In this paper, an approach is proposed for taking calculations of high order differentials of scaling functions in wavelet theory in order to apply the wavelet Galerkin FEM to numerical analysis of those boundary-value problems with order higher than 2. After that. it is realized that the wavelet Galerkin FEM is used to solve mechanical problems such as bending of beams and plates. The numerical results show that this method has good precision.

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